KARDASHIAN clan is in an uproar – over KHLOE’s chance to host “The X Factor.”

The show’s creator, Simon Cowell, has tabbed the leggy brunette as a possible co-host, and sources say that’s got her sisters Kourtney and Kim hair-pulling mad!

“Khloe and Kourtney re­cently ganged up on Kim for branching out on her own,” an insider told The ENQUIRER.

“They know that if Khloe gets the ‘X Factor’ gig, it will occupy so much time that she won’t be available for their TV show anymore.

“They’re worried that this will be the beginning of the end of the Kardashians.”

The family fracas started when Cowell – who axed original “X Factor” host Steve Jones in January – told talk-show host Ellen DeGeneres that he’s considering Khloe to be one of two hosts when the reality TV competition begins its live broadcasts in October.

And that launched World War III among the sisters, who share star billing on the E! reality series “Keeping Up with the Kar­dashians.”

Ironically, in the past Kim has split from the pack to work on several of her own projects, and Khloe was said to be unhappy about it.

“Kim launched her own fragrance, was a judge on ‘Project Runway’ and made an appearance on ‘America’s Next Top Model,’” noted the insider.

“But now Khloe is doing exactly the same thing, prompting Kim and Kourtney to call her a hypocrite!

“Besides that, Kim thinks she should be the one on ‘The X Factor’ because she’s the clan’s biggest star.”

Khloe defended herself by re­minding her sisters how she resisted striking out on her own when contacted by the weight-loss company Quicktrim to be their spokesperson and included them in the deal, so they all made a ton of mon­ey, according to the source.

“Hosting ‘The ‘X Factor’ is a HUGE opportunity for Khloe, and she bluntly says her sisters can take it or leave it,” added the insider.

Meanwhile, the girls’ mother, Kris Jenner, is apparently dis­tancing herself from the drama queens’ squabble.

“Kris is the only one who isn’t too upset since she’s Khloe’s manager and stands to get her cut anyway,” said the source. “Still, she doesn’t like to see her children fighting like this.”